Respuesta :
The setup fee for the photo book is $35.
For the paper there is an additional charge of $0.80 per page, if "x" represents the number of pages, you can express the cost for the paper as "0.80x"
The total bill must be less than $50, which means that the sum of the setup fee plus the additional charges per page, cannot surpass or be equal to $50, you can express the inequality as follows:
[tex]35+0.80x<50[/tex]To determine the greatest number of pages that the book can have without surpassing a total cost of $50, you have to solve the inequality for x.
-First, pass 35 to the right side of the inequality by applying the opposite operation "-35" to both sides of it:
[tex]\begin{gathered} 35-35+0.80x<50-35 \\ 0.80x<15 \end{gathered}[/tex]-Second, divide both sides of the equation by 0.8:
[tex]\begin{gathered} \frac{0.80x}{0.80}<\frac{15}{0.80} \\ x<18.75 \end{gathered}[/tex]The maximum number of pages that the book can have without surpassing a total cost of $50 is 18 pages.
